A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be

According to Joule's law of heating, the heat (H) produced in a conductor is directly proportional to the square of the current (I), the resistance (R) of the conductor, and the time (t) for which the current flows, expressed as H = I²Rt [1]. This implies that if the resistance and time remain constant, the heat produced is proportional to the square of the current [1]. In the given scenario, the initial current is 1 A and the heat produced is 2000 J. When the current is doubled to 2 A, the factor of increase in heat is the square of the change in current (2² = 4). Therefore, the new amount of heat produced will be 4 times the original heat, which is 4 × 2000 J = 8000 J.

Sources

1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > H = I2 > p. 189